Regardless of the marking policies , a teacher constantly not knowing your child's name or what they like/who they are as a person is not ok.
I've seen various marking policies as a TA , and the deep marking (which at one school we had to do for every child in every lesson) often became a tick boxing exercise, that took up hours and the kids barely took any notice of. I know, because I had to chase them for days to answer this green question or correct that thing. So even more time wasted.
Let's say I have a group of 6 children for English. I sit at a table with them and support and read as I and they go. So it's "Great use of sentence starters Amelie, can you add some speech please?" , "James, you forgot paragraphs, please start a new one when you move onto x", " Eliza, reread that sentence and check it makes sense", " Tommy , great work so far, can you add in some adverbs/adjectives please?" , " Suzie , I really like your first paragraph, can you use some conjunctions to expand these two sentences please?". And so on.
Of course I can write all of that down , but it takes time, it interrupts the children and their flow as I need their books to write it in, if I have other children coming in to show me their work, my group then gets no feedback at all for a chunk of time because I'm writing in other children's books and away from their table etc.
If you ask the children how they know they did well 99% of the time they say "I have a pink tick or miss tells me." Even in the schools where we had to write two sentences about what they did well and one for what they could improve. 